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Finding the Fourth Proportional to 274.76, 379.05 and 180.20

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Solution

The fourth proportional to 274.76, 379.05 and 180.20 is: 248.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.76 : 379.05 = 180.20 : x
  2. Step 2: Convert to fraction form
    274.76/379.05 = 180.20/x
  3. Step 3: Cross multiply
    274.76x = 379.05 × 180.20
  4. Step 4: Simplify right side
    274.76x = 68,305.76
  5. Step 5: Solve for x
    x = 68,305.76/274.76
  6. Step 6: Final answer
    x = 248.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.